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Popular >

simplify log_{b}(1/y)

Solution

simplify

lo g_{b} (\frac{1}{y})

Solution

- lo g_{b} (y)

Solution steps

lo g_{b} (\frac{1}{y})

Simplify

\frac{1}{y} : y^{- 1}

= lo g_{b} (y^{- 1})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{b} (y^{- 1}) = - 1 \cdot lo g_{b} (y)

= - 1 \cdot lo g_{b} (y)

Apply rule:

1 \cdot a = a

= - lo g_{b} (y)

Popular Examples

simplify log_{3}(x+4)+log_{3}(x-2)simplify

lo g_{3} (x + 4) + lo g_{3} (x - 2)

expand log_{10}(xy^4)expand

lo g_{10} (x y^{4})

simplify log_{10}((y^3)/(sqrt(z^3)x^2))simplify

lo g_{10} (\frac{y ^{3}}{z ^{3} x ^{2}})

simplify 3log_{10}(x)+1/2 log_{10}(y)simplify

3 lo g_{10} (x) + \frac{1}{2} lo g_{10} (y)

simplify ln(1)-ln(4x)-ln(3x-5)simplify

ln (1) - ln (4 x) - ln (3 x - 5)

Frequently Asked Questions (FAQ)

What is log_{b}(1/y) ?
The solution to log_{b}(1/y) is -log_{b}(y)